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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#446104#8529. Balance of Permutationucup-team3215AC ✓8ms9576kbC++201.4kb2024-06-16 21:30:062024-06-16 21:30:07

Judging History

你现在查看的是最新测评结果

  • [2024-06-16 21:30:07]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:9576kb
  • [2024-06-16 21:30:06]
  • 提交

answer

#include <bits/stdc++.h>
#pragma GCC target "abm,bmi,bmi2"

using namespace std;

using u128 = __uint128_t;

u128 mem[30][30][30][256];
uint16_t mark[30][30][30][256], ct;

int n, b;

u128 cnt(int l, int c, int d, int b, uint32_t m) {
  if (b < c * (c - 1) / 2 || b > (n - l) * (n - l - 1) / 2 || max(c, d) + l > n) return 0;
  if (l == n) return 1;
  if (mark[l][c][d][b] == ct) return mem[l][c][d][b];
  mark[l][c][d][b] = ct;
  u128 ans{};
  if ((m & 1 << l) && d) {
    ans += cnt(l + 1, c - 1, d - 1, b - c + 1, m) * c * d;
    ans += cnt(l + 1, c, d, b - c, m) * d;
  }
  if (c += m >> l & 1) ans += cnt(l + 1, c - 1, d, b - c + 1, m) * c;
  ans += cnt(l + 1, c, d + 1, b - c, m);
  return mem[l][c -= m >> l & 1][d][b] = ans;
}

u128 cnt(int l, int b, uint32_t m) {
  int c = 0;
  for (int i = 0; i < l; ++i) if (m & 1 << i) {
    ++c;
    b -= l - i;
    m ^= 1 << i;
  }
  ++ct;
  auto ans = cnt(l, c, 0, b, m);
  return ans;
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin >> n >> b; b /= 2;
  u128 k{};
  for (char c; cin >> c && isdigit(c); ) k = k * 10 + c - '0';
  int ans[30], l = 0, m = (1 << n) - 1;
  while (l < n)
  for (int i = 0; i < n; ++i) if (m & 1 << i) if (auto t = cnt(l + 1, b - max(l - i, {}), m - (1 << i)); t >= k) {
    b -= max(l - i, {});
    ans[l++] = i + 1;
    m -= 1 << i;
    break;
  } else k -= t;
  for (int i = 0; i < n; ++i) cout << ans[i] << ' ';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3788kb

input:

6 6 6

output:

1 2 6 3 4 5 

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 3ms
memory: 7480kb

input:

30 300 3030303030303030303030

output:

1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11 

result:

ok 30 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

1 0 1

output:

1 

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

2 0 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

2 2 1

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

5 8 3

output:

1 5 4 2 3 

result:

ok 5 number(s): "1 5 4 2 3"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

7 20 100

output:

3 6 7 4 1 5 2 

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

7 2 6

output:

2 1 3 4 5 6 7 

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

7 24 1

output:

4 5 6 7 1 2 3 

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

7 22 360

output:

7 6 4 3 5 2 1 

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

7 20 358

output:

5 7 2 4 6 3 1 

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 1ms
memory: 3940kb

input:

10 48 10001

output:

7 5 8 9 6 10 3 4 1 2 

result:

ok 10 numbers

Test #13:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

10 42 10101

output:

3 9 6 8 10 5 7 2 1 4 

result:

ok 10 numbers

Test #14:

score: 0
Accepted
time: 2ms
memory: 5452kb

input:

25 300 1

output:

7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13 

result:

ok 25 numbers

Test #15:

score: 0
Accepted
time: 0ms
memory: 6392kb

input:

25 300 283788388040048639877

output:

25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3 

result:

ok 25 numbers

Test #16:

score: 0
Accepted
time: 4ms
memory: 7440kb

input:

26 302 105773752969551707419545

output:

19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9 

result:

ok 26 numbers

Test #17:

score: 0
Accepted
time: 5ms
memory: 8048kb

input:

27 308 8781128321749037280676555

output:

16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12 

result:

ok 27 numbers

Test #18:

score: 0
Accepted
time: 0ms
memory: 8292kb

input:

28 304 806517199954337651602356955

output:

12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9 

result:

ok 28 numbers

Test #19:

score: 0
Accepted
time: 8ms
memory: 9036kb

input:

29 322 40281026669581503094652149519

output:

16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24 

result:

ok 29 numbers

Test #20:

score: 0
Accepted
time: 3ms
memory: 9020kb

input:

30 400 46479902466857426153849991132

output:

25 19 30 29 9 20 26 21 14 27 28 10 22 11 24 2 7 4 18 17 5 13 12 6 8 1 15 23 16 3 

result:

ok 30 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 6544kb

input:

30 450 1140008168482799670544355

output:

26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 3 5 9 4 8 14 10 6 11 12 15 7 13 

result:

ok 30 numbers

Test #22:

score: 0
Accepted
time: 0ms
memory: 6284kb

input:

30 150 480087379811286955791425915

output:

7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 6 14 23 21 24 26 27 22 19 29 

result:

ok 30 numbers

Test #23:

score: 0
Accepted
time: 6ms
memory: 6388kb

input:

30 150 480087379811286955791439470

output:

7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 19 6 22 24 21 23 26 14 29 27 

result:

ok 30 numbers

Test #24:

score: 0
Accepted
time: 0ms
memory: 7352kb

input:

30 440 41509275104334759322587324

output:

22 23 20 24 18 30 19 26 21 28 4 29 17 25 27 16 3 1 2 5 8 13 10 15 7 12 9 14 11 6 

result:

ok 30 numbers

Test #25:

score: 0
Accepted
time: 0ms
memory: 6608kb

input:

30 450 1140008168482800727111311

output:

26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 5 7 14 4 15 8 11 3 13 10 9 6 12 

result:

ok 30 numbers

Test #26:

score: 0
Accepted
time: 7ms
memory: 9172kb

input:

30 400 52289890275214604423031772929

output:

26 27 29 21 28 16 18 11 2 25 24 23 6 30 20 13 17 10 15 4 9 12 8 22 19 1 5 7 3 14 

result:

ok 30 numbers

Test #27:

score: 0
Accepted
time: 1ms
memory: 3928kb

input:

30 0 1

output:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 

result:

ok 30 numbers

Test #28:

score: 0
Accepted
time: 0ms
memory: 6616kb

input:

30 450 1

output:

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 

result:

ok 30 numbers

Test #29:

score: 0
Accepted
time: 0ms
memory: 6684kb

input:

30 450 1710012252724199424000000

output:

30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 

result:

ok 30 numbers

Test #30:

score: 0
Accepted
time: 0ms
memory: 6552kb

input:

30 450 1692383260428073656742269

output:

30 27 26 28 18 29 21 19 25 17 20 16 24 22 23 7 13 4 6 3 5 12 1 15 14 9 11 8 2 10 

result:

ok 30 numbers

Test #31:

score: 0
Accepted
time: 6ms
memory: 9576kb

input:

30 302 5918364042599361729860937331200

output:

30 29 28 27 26 25 14 8 9 10 11 12 13 7 15 16 17 18 19 20 21 22 23 24 6 5 4 3 2 1 

result:

ok 30 numbers

Test #32:

score: 0
Accepted
time: 4ms
memory: 8148kb

input:

30 254 2256781660157136563723839089600

output:

25 2 3 12 7 16 19 8 22 6 11 17 27 26 10 24 15 21 20 18 28 9 30 23 14 13 5 29 4 1 

result:

ok 30 numbers

Test #33:

score: 0
Accepted
time: 3ms
memory: 6652kb

input:

30 448 3131906441000512625049600

output:

23 20 28 18 26 30 19 29 27 22 17 24 21 25 2 13 16 15 14 12 11 10 9 8 7 6 5 4 3 1 

result:

ok 30 numbers

Test #34:

score: 0
Accepted
time: 1ms
memory: 4072kb

input:

30 2 20

output:

1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 

result:

ok 30 numbers

Test #35:

score: 0
Accepted
time: 0ms
memory: 4164kb

input:

30 2 29

output:

2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 

result:

ok 30 numbers

Extra Test:

score: 0
Extra Test Passed